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Finding the Third Proportional to 57,724 and 86,968

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Solution

The third proportional to 57,724 and 86,968 is: 131,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,724 : 86,968 = 86,968 : x
  2. Step 2: Convert to fraction form
    57,724/86,968 = 86,968/x
  3. Step 3: Cross multiply
    57,724x = 86,968 × 86,968
  4. Step 4: Simplify right side
    57,724x = 7,563,433,024
  5. Step 5: Solve for x
    x = 7,563,433,024/57,724
  6. Step 6: Final answer
    x = 131,027.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.